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Finding the Fourth Proportional to 150,193.66, 207,266.65 and 81,282.97

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Solution

The fourth proportional to 150,193.66, 207,266.65 and 81,282.97 is: 112,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,193.66 : 207,266.65 = 81,282.97 : x
  2. Step 2: Convert to fraction form
    150,193.66/207,266.65 = 81,282.97/x
  3. Step 3: Cross multiply
    150,193.66x = 207,266.65 × 81,282.97
  4. Step 4: Simplify right side
    150,193.66x = 16,847,248,893.95
  5. Step 5: Solve for x
    x = 16,847,248,893.95/150,193.66
  6. Step 6: Final answer
    x = 112,170.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.